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Statistical inference and information processing of high-dimensional data often require efficient and accurate estimation of their second-order statistics. With rapidly changing data, limited processing power and storage at the acquisition…

Information Theory · Computer Science 2015-03-23 Yuxin Chen , Yuejie Chi , Andrea Goldsmith

Quantitative Magnetic Resonance Imaging (qMRI) enables the reproducible measurement of biophysical parameters in tissue. The challenge lies in solving a nonlinear, ill-posed inverse problem to obtain the desired tissue parameter maps from…

Image and Video Processing · Electrical Eng. & Systems 2024-05-08 Felix F Zimmermann , Christoph Kolbitsch , Patrick Schuenke , Andreas Kofler

Extreme-mass-ratio inspiral (EMRI) signals pose significant challenges in gravitational wave (GW) astronomy owing to their low-frequency nature and highly complex waveforms, which occupy a high-dimensional parameter space with numerous…

We develop a computational framework to quantify uncertainty in shear elastography imaging of anomalies in tissues. We adopt a Bayesian inference formulation. Given the observed data, a forward model and their uncertainties, we find the…

Numerical Analysis · Mathematics 2023-06-07 Ana Carpio , Elena Cebrian , Andrea Gutierrez

Parameter estimation with the maximum $L_q$-likelihood estimator (ML$q$E) is an alternative to the maximum likelihood estimator (MLE) that considers the $q$-th power of the likelihood values for some $q<1$. In this method, extreme values…

Methodology · Statistics 2025-06-23 Sihan Chen , Joydeep Chowdhury , Marc G. Genton

The Magnetic Resonance Imaging (MRI) processing chain starts with a critical acquisition stage that provides raw data for reconstruction of images for medical diagnosis. This flow usually includes a near-lossless data compression stage that…

Image and Video Processing · Electrical Eng. & Systems 2020-11-10 Veronica Corona , Yehuda Dar , Guy Williams , Carola-Bibiane Schönlieb

This paper tackles the problem of jointly estimating the noise covariance matrix alongside states (parameters such as poses and points) from measurements corrupted by Gaussian noise and, if available, prior information. In such settings,…

Robotics · Computer Science 2025-08-13 Kasra Khosoussi , Iman Shames

Multi-task learning is a method for improving the generalizability of multiple tasks. In order to perform multiple classification tasks with one neural network model, the losses of each task should be combined. Previous studies have mostly…

Machine Learning · Computer Science 2018-10-03 Myungsu Chae , Tae-Ho Kim , Young Hoon Shin , June-Woo Kim , Soo-Young Lee

Recovering jointly sparse signals in the multiple measurement vectors (MMV) setting is a fundamental problem in machine learning, but traditional methods often require careful parameter tuning or prior knowledge of the sparsity of the…

Machine Learning · Computer Science 2026-02-02 Lakshmi Jayalal , Sheetal Kalyani

This paper considers a hybrid approach to joint estimation of channel information and antenna impedance, for single-input, single-output channels. Based on observation of training sequences via synchronously switched load at the receiver,…

Signal Processing · Electrical Eng. & Systems 2020-06-23 Shaohan Wu , Brian L. Hughes

Quantitative susceptibility mapping (QSM) has been increasingly applied in longitudinal studies of neurodegenerative diseases and aging to assess temporal alterations in brain iron and myelin. The accuracy of such investigations depends on…

Quantitative Methods · Quantitative Biology 2026-05-05 Jiye Kim , Hwihun Jeong , Taechang Kim , Eunseon Jeong , Jinhee Jang , Yangsean Choi , Jongho Lee

We propose a systematic procedure to optimize quantum state tomography protocols for continuous variable systems based on excitation counting preceded by a displacement operation. Compared with conventional tomography based on Husimi or…

Characterising the noise of an airborne electromagnetic (AEM) system is critical in correctly imaging the earth's subsurface conductivity. Deterministic and probabilistic geophysical inversion algorithms require foreknowledge of the system…

Geophysics · Physics 2026-05-06 Tim Scarr , Anandaroop Ray , Ross C. Brodie

This paper addresses robust waveform design for multiple-input-multiple-output (MIMO) radar detection. A probabilistic model is proposed to describe the target uncertainty. Considering that waveform design based on maximizing the…

Signal Processing · Electrical Eng. & Systems 2022-04-12 Xuyang Wang , Bo Tang , Ming Zhang

We propose a new flexible tensor model for multiple-equation regression that accounts for latent regime changes. The model allows for dynamic coefficients and multi-dimensional covariates that vary across equations. We assume the…

Methodology · Statistics 2024-07-02 Roberto Casarin , Radu Craiu , Qing Wang

Many applications in mechanical, acoustic, and electronic engineering require estimating complex dynamical models, often represented as additive multi-input multi-output (MIMO) transfer functions with structural constraints. This paper…

Systems and Control · Electrical Eng. & Systems 2025-05-21 Rodrigo A. González , Maarten van der Hulst , Koen Classens , Tom Oomen

Based on two independent samples X_1,...,X_m and X_{m+1},...,X_n drawn from multivariate distributions with unknown Lebesgue densities p and q respectively, we propose an exact multiple test in order to identify simultaneously regions of…

Statistics Theory · Mathematics 2009-08-12 Angelika Rohde

We consider high-dimensional measurement errors with high-frequency data. Our objective is on recovering the high-dimensional cross-sectional covariance matrix of the random errors with optimality. In this problem, not all components of the…

Statistics Theory · Mathematics 2024-04-03 Jinyuan Chang , Qiao Hu , Cheng Liu , Cheng Yong Tang

Purpose: To develop an accelerated Cartesian MRF implementation using a multi-shot EPI sequence for rapid simultaneous quantification of T1 and T2 parameters. Methods: The proposed Cartesian MRF method involved the acquisition of highly…

The Relative Transfer Matrix (ReTM), recently introduced as a generalization of the relative transfer function for multiple receivers and sources, shows promising performance when applied to speech enhancement and speaker separation in…

Audio and Speech Processing · Electrical Eng. & Systems 2025-10-23 Wageesha N. Manamperi , Thushara D. Abhayapala